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balandron [24]
1 year ago
12

Factor by grouping

le="(4y^3 + 28y^2) + (y + 7)" alt="(4y^3 + 28y^2) + (y + 7)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Inessa05 [86]1 year ago
3 0

We have the following expression given:

(4y^3+28y^2)+(y+7)

We can start selecting as common factor 4y^2 and we got:

4y^2(y+7)+(y+7)

Now we can select y+7 as common factor and we got:

(y+7)\left\lbrack 4y^2+1\right\rbrack

So then our final answer would be:

(y+7)(4y^2+1)

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Wrong subject, but that is true. You should have information to back that up also.
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Which number sentence is always true?
Vaselesa [24]

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B

Step-by-step explanation:

The answer is ''B'' cause it is the only true statement

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3 years ago
Find slope of the graph 9x-3y=15
LekaFEV [45]
<h3><u>Explanation</u></h3>
  • Convert the equation into slope-intercept form.

y = mx + b

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

9x - 3y = 15 \\ 9x - 15 = 3y \\  \frac{9x - 15}{3}  = y

  • Simplify

\frac{9x}{3}  -  \frac{15}{3}  = y \\ 3x - 5 = y  \\ y = 3x - 5

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

\large \boxed {slope = 3}

4 0
3 years ago
A large mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pou
Marysya12 [62]

Answer

Let t be number of minutes since tap is opened

water is increased by 20 gallons of water per minute.

sugar increase rate of 3 pounds per minute

water :- W(t) = 350 + 10 t

sugar :- S(t) = 10 + 3 t

concentration

C(t) = \dfrac{S(t)}{W(t)}

at t = 15 minutes

C(15) = \dfrac{S(15)}{W(15)}

C(15) = \dfrac{10 + 3\times 15 }{350 + 10\times 15}

C(15) = 0.11

at beginning t = 0 minutes

C(0) = \dfrac{S(0)}{W(0)}

C(0) = \dfrac{10 + 3\times 0}{350 + 10\times 0}

C(0) = 0.0286

C(15) > C(0)

hence, concentration is increasing as time is passing.

3 0
3 years ago
What is 6 over 9 simplified
Snezhnost [94]

Answer:

2/3

Step-by-step explanation:

\frac{6}{9}

\frac{6}{9}  =  \frac{2 \times 3}{3 \times 3}

=  \frac{2}{3}  \times  \frac{3}{3}

=  \frac{2}{3}  \times 1 =  \frac{2}{3}

I hope it helped you

3 0
2 years ago
Read 2 more answers
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